IFHP Transformations on the Tangent Bundle with the Deformed Complete Lift Metric

Mosayeb ZOHREHVAND

doi:https://doi.org/10.36890/iejg.1037651

Makale detayları

IFHP Transformations on the Tangent Bundle with the Deformed Complete Lift Metric

Yazarlar:

Mosayeb ZOHREHVAND

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.153-159

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471508

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.1037651

Özet:

 

Let (Mn,g)(Mn,g)(M_n,g) be a Riemannian manifold and TMnTMnTM_n the total space of its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving holomorphically projective (IFHP) transformations on TMnTMnTM_n with respect to the Levi-Civita connection of the deformed complete lift metric ~Gf=gC+(fg)VG~f=gC+(fg)V\tilde{G}_f=g^C+(fg)^V, where fff is a nonzero differentiable function on MnMnM_n and gCgCg^C and gVgVg^V are the complete lift and the vertical lift of ggg on TMnTMnTM_n, respectively. Morevore, we prove that every IFHP transformation on (TMn,~Gf)(TMn,G~f)(TM_n,\tilde{G}_f) is reduced to an affine and induces an infinitesimal affine transformation on (Mn,g)(Mn,g)(M_n,g).

Makale detayları

IFHP Transformations on the Tangent Bundle with the Deformed Complete Lift Metric

Yazarlar: Mosayeb ZOHREHVAND

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.153-159

Belge Tipi: Makale

Yayın Tarihi: 4/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000471508

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.1037651

Sayı

Yazarlar:

Mosayeb ZOHREHVAND

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.153-159

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471508

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.1037651